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35195228672 = 2982912
BaseRepresentation
bin100000110001110011…
…001001001000000000
310100211211000212022212
4200301303021020000
51034034434304142
624100215521252
72354112336062
oct406163111000
9110754025285
1035195228672
1113a2087524a
1269a2989228
13341b7ca2c6
1419bc409732
15daec95d82
hex831cc9200

35195228672 has 30 divisors (see below), whose sum is σ = 70330199379. Its totient is φ = 17595491840.

The previous prime is 35195228671. The next prime is 35195228699. The reversal of 35195228672 is 27682259153.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17597614336 + 17597614336 = 132656^2 + 132656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=132656.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35195228672.

It is not an unprimeable number, because it can be changed into a prime (35195228671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4240847 + ... + 4249137.

Almost surely, 235195228672 is an apocalyptic number.

35195228672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35195228672 is a deficient number, since it is larger than the sum of its proper divisors (35134970707).

35195228672 is an frugal number, since it uses more digits than its factorization.

35195228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 8293 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

Multiplying 35195228672 by its sum of digits (50), we get a square (1759761433600 = 13265602).

The spelling of 35195228672 in words is "thirty-five billion, one hundred ninety-five million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 8291 16582 33164 66328 132656 265312 530624 1061248 2122496 4244992 68740681 137481362 274962724 549925448 1099850896 2199701792 4399403584 8798807168 17597614336 35195228672